A linear space where strongly unique elements of best approximation exist
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Exploring the Uniqueness of Best Simultaneous Approximations in Finite Dimensional Subspaces
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Some remarks on strong uniqueness of best approximation
Approximation Theory and its Applications, 1990In the paper we examine properties of strongly unique best approximation in terms of extremal functionals in an abstract normed linear space. Using some new or modified tools (e.g., the shadow of a set, strongly tangent sets, I-sets) we express criteria of strong uniqueness both in linear and nonlinear approximation.
J. Sudolski, A. P. Wójcik
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On the uniqueness of best approximation in non-archimedian spaces
Periodica Mathematica Hungarica, 1991\textit{A. F. Monna} [Indag. Math. 30, 484--496 (1968; Zbl 0172.39302)] has shown that 1. No subspace other than the trivial one of a non-Archimedean normed linear space (n.a. n.l.s.) \(X\) over a non-Archimedean non-trivially valued field \(K\), can be Chebyshev and 2.
Narang, T. D., Garg, S. K.
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